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Finding the Fourth Proportional to 13,828.80, 20,743.20 and 13,742.40

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Solution

The fourth proportional to 13,828.80, 20,743.20 and 13,742.40 is: 20,613.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,828.80 : 20,743.20 = 13,742.40 : x
  2. Step 2: Convert to fraction form
    13,828.80/20,743.20 = 13,742.40/x
  3. Step 3: Cross multiply
    13,828.80x = 20,743.20 × 13,742.40
  4. Step 4: Simplify right side
    13,828.80x = 285,061,351.68
  5. Step 5: Solve for x
    x = 285,061,351.68/13,828.80
  6. Step 6: Final answer
    x = 20,613.60

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.